A simple method for approximating rational Bézier curve using Bézier curves

Author:

Huang Youdu,Su Huaming,Lin Hongwei

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modeling and Simulation

Reference7 articles.

1. NURBS: From Projective Geometry to Practical Use;Farin,1999

2. High order approximation of rational curves by polynomial curves;Floater;Computer Aided Geometric Design,2006

3. Recursive formulae for Hermite polynomial approximations to rational Bézier curves;Liu,2000

4. Approximating rational curves using polynomial curves;Sederberg,1991

5. Computing areas bounded by rational Bézier curves;Wang;Computer Aided Drafting. Design and Manufacturing,1994

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1. Improved piecewise cubic Bézier polynomial with C2 continuity;PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science;2022

2. PIA and PPIA for Interpolating Points and Derivatives at Endpoints by Bézier Curves;Mathematical Problems in Engineering;2021-06-30

3. Polynomial Accelerated Iterative Approximation for Higher Order and Rational Bézier Curves;Results in Mathematics;2021-06-19

4. The use of Jacobi wavelets for constrained approximation of rational Bézier curves;Computational and Applied Mathematics;2017-12-21

5. On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces;Journal of Approximation Theory;2014-06

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